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Simplifying 2x + 10 + 3x = -12 + -1x + -20 Reorder the terms: 10 + 2x + 3x = -12 + -1x + -20 Combine like terms: 2x + 3x = 5x 10 + 5x = -12 + -1x + -20 Reorder the terms: 10 + 5x = -12 + -20 + -1x Combine like terms: -12 + -20 = -32 10 + 5x = -32 + -1x Solving 10 + 5x = -32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 5x + x = -32 + -1x + x Combine like terms: 5x + x = 6x 10 + 6x = -32 + -1x + x Combine like terms: -1x + x = 0 10 + 6x = -32 + 0 10 + 6x = -32 Add '-10' to each side of the equation. 10 + -10 + 6x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -32 + -10 6x = -32 + -10 Combine like terms: -32 + -10 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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